• DocumentCode
    815381
  • Title

    The infimum principle

  • Author

    Geering, Hans P. ; Athans, Michans

  • Author_Institution
    Oerlikon-Buehrle AG, Zurich, Switzerland
  • Volume
    19
  • Issue
    5
  • fYear
    1974
  • fDate
    10/1/1974 12:00:00 AM
  • Firstpage
    485
  • Lastpage
    494
  • Abstract
    This paper reports a reasonably complete theory of necessary and sufficient conditions for a control to be superior with respect to a nonscalar-valued performance criterion. The latter maps into a finite-dimensional integrally closed directed partially ordered linear space. The applicability of the theory to the analysis of dynamic vector estimation problems and to a class of uncertain optimal control problems is demonstrated.
  • Keywords
    Estimation; Kalman filtering; Optimal control; Optimization methods; Control systems; Cost function; Covariance matrix; Estimation error; Games; NASA; Optimal control; Performance gain; State estimation; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1974.1100634
  • Filename
    1100634